Abstract
It was argued in [Y. Maeda, A. Sako, Noncommutative deformation of instantons, J. Geom. Phys. 58 (2008) 1784] that the noncommutative deformation of instantons on a 4-torus T 4 should alter the instanton numbers for arbitrary noncommutativity parameter θ . We show that this is not the case for the U ( N 2 ) theory discussed there. And we discuss the instanton numbers in general gauge theories on the noncommutative T 4 .
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